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Finding the Fourth Proportional to 3,466.94, 5,202.47 and 1,277.21

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Solution

The fourth proportional to 3,466.94, 5,202.47 and 1,277.21 is: 1,916.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.94 : 5,202.47 = 1,277.21 : x
  2. Step 2: Convert to fraction form
    3,466.94/5,202.47 = 1,277.21/x
  3. Step 3: Cross multiply
    3,466.94x = 5,202.47 × 1,277.21
  4. Step 4: Simplify right side
    3,466.94x = 6,644,653.33
  5. Step 5: Solve for x
    x = 6,644,653.33/3,466.94
  6. Step 6: Final answer
    x = 1,916.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.